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Subtracting Fractions with Unlike Denominators

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Subtracting Fractions with Unlike Denominators

Study Guide

Key Definition

To subtract fractions with unlike denominators, find the least common multiple (LCM) of the denominators and convert each fraction to an equivalent fraction with this common denominator.

Important Notes

Find the $LCM$ of the denominators
Convert fractions to equivalent fractions with the $LCM$ as the denominator
Subtract the numerators
Simplify the resulting fraction if possible
Check your work by ensuring the fractions are equivalent

Mathematical Notation

$\frac{a}{b}$ means a divided by b

$-$ represents subtraction

$\times$ or $*$ represents multiplication

$\div$ or $/$ represents division

Remember to use proper notation when solving problems

Why It Works

Finding a common denominator ensures that the fractions are expressed in a way that allows for direct comparison and accurate subtraction.

Remember

The key to subtracting fractions with unlike denominators is finding the $LCM$ and converting each fraction accordingly.

Quick Reference

LCM of 7 and 3:$21$

Understanding Subtracting Fractions with Unlike Denominators

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Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

To subtract fractions with different denominators, convert them to have a common denominator using the $LCM$.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

What is $\frac{6}{7} - \frac{2}{3}$?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

If you ate $\frac{3}{4}$ of a pizza and your friend ate $\frac{2}{5}$, how much more pizza did you eat?

Thinking Challenge

Thinking Exercise